Geometry · Area, Surface Area & Volume
Volume of a Cone
HSG-GMD.A.3
Definition
V = one third pi r2 h, one third the cylinder of the same base and height.
Teach it
Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.
Examples
- A cone with the same base and height as a cylinder has exactly one third its volume.
- A cone with radius 3 and height 6 has volume one third pi(32)(6) = 18 pi cubic units.
Key rule
A cone's volume is always one third of a cylinder with the same base and height.
Memory hook
One third of a matching cylinder.